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Finding the Fourth Proportional to 311,860.12, 467,819.82 and 87,220.60

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Solution

The fourth proportional to 311,860.12, 467,819.82 and 87,220.60 is: 130,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,860.12 : 467,819.82 = 87,220.60 : x
  2. Step 2: Convert to fraction form
    311,860.12/467,819.82 = 87,220.60/x
  3. Step 3: Cross multiply
    311,860.12x = 467,819.82 × 87,220.60
  4. Step 4: Simplify right side
    311,860.12x = 40,803,525,392.29
  5. Step 5: Solve for x
    x = 40,803,525,392.29/311,860.12
  6. Step 6: Final answer
    x = 130,839.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.